Search a number
-
+
243150322434222 = 2372310712718522953
BaseRepresentation
bin110111010010010011011000…
…100110001000000010101110
31011212220221111001000012210210
4313102103120212020002232
5223332233330020343342
62221045414400443250
7102134013442264230
oct6722233046100256
91155827431005723
10243150322434222
1170525522109905
12233301b3019526
13a589c91689b68
14440877751a250
151d19d7057079c
hexdd24d89880ae

243150322434222 has 128 divisors (see below), whose sum is σ = 589965272285184. Its totient is φ = 65311632384768.

The previous prime is 243150322434203. The next prime is 243150322434311. The reversal of 243150322434222 is 222434223051342.

It is a super-2 number, since 2×2431503224342222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3865498 + ... + 22388450.

It is an arithmetic number, because the mean of its divisors is an integer number (4609103689728).

Almost surely, 2243150322434222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243150322434222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294982636142592).

243150322434222 is an abundant number, since it is smaller than the sum of its proper divisors (346814949850962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243150322434222 is a wasteful number, since it uses less digits than its factorization.

243150322434222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18523222.

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 243150322434222 its reverse (222434223051342), we get a palindrome (465584545485564).

The spelling of 243150322434222 in words is "two hundred forty-three trillion, one hundred fifty billion, three hundred twenty-two million, four hundred thirty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 107 127 138 161 214 254 321 322 381 483 642 749 762 889 966 1498 1778 2247 2461 2667 2921 4494 4922 5334 5842 7383 8763 13589 14766 17227 17526 20447 27178 34454 40767 40894 51681 61341 81534 95123 103362 122682 190246 285369 312547 570738 625094 937641 1875282 2187829 4375658 6563487 13126974 18522953 37045906 55568859 111137718 129660671 259321342 388982013 426027919 777964026 852055838 1278083757 1981955971 2352415031 2556167514 2982195433 3963911942 4704830062 5945867913 5964390866 7057245093 8946586299 11891735826 13873691797 14114490186 16466905217 17893172598 27747383594 32933810434 41621075391 45584987333 49400715651 54105545713 83242150782 91169974666 98801431302 108211091426 136754961999 162316637139 251708408317 273509923998 319094911331 324633274278 378738819991 503416816634 638189822662 755125224951 757477639982 957284733993 1136216459973 1510250449902 1761958858219 1914569467986 2272432919946 3523917716438 5285876574657 5789293391291 10571753149314 11578586782582 17367880173873 34735760347746 40525053739037 81050107478074 121575161217111 243150322434222